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Chaos and Fractals: The Mathematics Behind the Computer Graphics


Chaos and Fractals: The Mathematics Behind the Computer Graphics Cover


Synopses & Reviews

Publisher Comments:

This volume contains the proceedings of a highly successful AMS Short Course on Chaos and Fractals, held during the AMS Centennial Celebration in Providence, Rhode Island in August 1988. Chaos and fractals have been the subject of great interest in recent years and have proven to be useful in a variety of areas of mathematics and the sciences. The purpose of the short course was to provide a solid introduction to the mathematics underlying the notions of chaos and fractals. The papers in this book range over such topics as dynamical systems theory, Julia sets, the Mandelbrot set, attractors, the Smale horseshoe, calculus on fractals, and applications to data compression. The authors represented here are some of the top experts in this field. Aimed at beginning graduate students, college and university mathematics instructors, and non-mathematics researchers, this book provides readable expositions of several exciting topics of contemporary research.

Table of Contents

R. L. Devaney?Overview: Dynamics of simple maps
P. J. Holmes?Nonlinear oscillations and the Smale horseshoe map
K. T. Alligood and J. A. Yorke?Fractal basin boundaries and chaotic attractors
L. Keen?Julia sets
B. Branner?The Mandelbrot set
J. Harrison?Introduction to fractals
M. F. Barnsley?Iterated function systems

Product Details

(the mathematics behind the computer graphics )
Devaney, Robert L
American Mathematical Society
Providence, RI :
Computer graphics
Edition Description:
Includes bibliographical references and index.
Series Volume:
v. 39.
Publication Date:
ix, 148 p., 16 p. of plat

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Related Subjects

Computers and Internet » Graphics » General
Reference » Science Reference » Chaos and Complexity
Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Popular Chaos and Fractals

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Product details ix, 148 p., 16 p. of plat pages American Mathematical Society,c1989. - English 9780821801376 Reviews:
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